N
10
30
50
100
200
δ
π
RB
RMSE
RB
RMSE
RB
RMSE
RB
RMSE
RB
RMSE
0.025
0.025
-0.19851
0.62720
-0.21900
1.39904
-0.21404
2.07079
-0.21983
3.99190
-0.21802
8.10129
0.05
-0.19846
0.82584
-0.21224
2.01364
-0.21294
3.23978
-0.21866
6.61699
-0.21839
12.93352
0.075
-0.19159
0.58552
-0.20734
2.16589
-0.21525
3.95608
-0.21557
6.99832
-0.21770
16.05542
0.1
-0.18630
0.47723
-0.20989
2.04705
-0.21070
3.15518
-0.21594
6.79163
-0.21745
15.11770
0.05
0.025
-0.33664
0.29684
-0.34216
1.38478
-0.34687
2.22916
-0.35037
4.84176
-0.35118
10.18286
0.05
-0.32390
0.55233
-0.34550
2.48866
-0.34682
4.21423
-0.34792
8.09808
-0.34914
16.14353
0.075
-0.31866
0.42907
-0.33918
2.58116
-0.34041
4.53962
-0.34644
10.35087
-0.35034
22.34342
0.1
-0.32452
0.57821
-0.33669
2.62008
-0.34382
5.20362
-0.34643
10.76827
-0.34634
21.27869
0.075
0.025
-0.41765
0.21261
-0.43070
1.14142
-0.43465
2.28080
-0.43728
4.62541
-0.43816
9.57794
0.05
-0.41226
0.49517
-0.43016
2.22917
-0.43729
4.09072
-0.43711
7.91928
-0.44006
17.84205
0.075
-0.41035
0.57524
-0.43316
3.24027
-0.43726
5.11599
-0.43433
10.47707
-0.43923
21.55867
0.1
-0.40325
0.52001
-0.42756
2.83587
-0.43379
5.31205
-0.43266
11.63008
-0.43582
25.09460
0.1
0.025
-0.49251
0.16253
-0.49814
0.94624
-0.50126
1.93484
-0.50360
3.98548
-0.50508
8.79043
0.05
-0.49530
0.39304
-0.49912
1.94190
-0.50125
3.65935
-0.50238
7.63380
-0.50425
17.88317
0.075
-0.47931
0.54316
-0.49485
2.29268
-0.50104
4.98767
-0.50378
10.93567
-0.50427
22.90261
0.1
-0.47330
0.44214
-0.49533
2.89089
-0.49896
5.15652
-0.50163
11.57889
-0.50280
24.79560
Table 1:
Relative bias (RB) and relative mean squared error (RMSE) for the binomial model using various combinations of π, δ and N with k=25 and n
l
=10, l=1,2,…,N
